Abstract
Analytic sets are zero sets of holomorphic functions. Such sets were already considered in the nineteenth century — long before the notion of a complex space was coined — as the natural generalization of algebraic sets which are zero sets of polynomials. One reason to study analytic sets and not just systems of the type w1= f1(z1, ..., z m ), ..., w n = f n (z1, ..., z n ) is that quite often the implicit function theorem cannot be applied to solve a given set of holomorphic equations.
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© 1984 Springer-Verlag Berlin Heidelberg
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Grauert, H., Remmert, R. (1984). Analytic Sets. Coherence of Ideal Sheaves. In: Coherent Analytic Sheaves. Grundlehren der mathematischen Wissenschaften, vol 265. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-69582-7_4
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DOI: https://doi.org/10.1007/978-3-642-69582-7_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-69584-1
Online ISBN: 978-3-642-69582-7
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